The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

Q: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

2 l + b b = 5 1 => 2l + 2b = 5b => 3b = 2l b=(2/3)l Then, Area = 216 cm2 => l x b = 216 => l x (2/3)l =216 l = 18 cm.

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18
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Correct Answer: 18

Explanation:

$\frac{2 l + b}{b} = \frac{5}{1}$ => 2l + 2b = 5b => 3b = 2l

b=(2/3)l

Then, Area = 216 cm²

=> l x b = 216 => l x (2/3)l =216

l = 18 cm.

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